Least Common Multiple of 7042/785, 7349/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7042/785, 7349/860 quickly i.e. 51751658/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7042/785, 7349/860 is 51751658/5.

LCM(7042/785, 7349/860) = 51751658/5

LCM of 7042/785, 7349/860

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7042/785,7349/860

Given numbers are 7042/785,7349/860

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7042,7349

Least Common Multiple of Numerators i.e. LCM of 7042,7349 is 51751658.

GCF of Denominators means GCF of 785,860 as per the given fractions.

GCF of 785,860 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7042,7349

LCM of Fractions 7042/785,7349/860 is 51751658/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 51751658

Least Common Multiple of 7042,7349 with GCF Formula

Least Common Multiple of 7042,7349 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7042,7349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7042,7349) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7042,7349) x common factors =1 x 1 = 1

LCM(7042,7349) = ( 7042 × 7349 ) / 1

LCM(7042,7349) = 51751658 / 1

LCM(7042,7349) = 51751658


Lets's calculate GCF of 785,860

5 785, 860
157, 172

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51751658/5

Therefore the LCM of Fractions 7042/785,7349/860 is 51751658/5

Greatest Common Factor of 785,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,860 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 785,860 . The biggest common factor number is the GCF number.
So the greatest common factor 785,860 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7042/785, 7349/860

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7042/785, 7349/860?

Answer: LCM of Numerators as per given numbers 7042/785, 7349/860 is

LCM of Numerators i.e. for 7042,7349 is 51751658

GCF of denominators i.e. for 785,860 is 5.

Thus, LCM of Fractions is 51751658/5.Finally, LCM of Fractions for 7042/785, 7349/860 is 51751658/5.